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Finding the Fourth Proportional to 9,365.69, 13,980.22 and 8,183.37

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Solution

The fourth proportional to 9,365.69, 13,980.22 and 8,183.37 is: 12,215.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365.69 : 13,980.22 = 8,183.37 : x
  2. Step 2: Convert to fraction form
    9,365.69/13,980.22 = 8,183.37/x
  3. Step 3: Cross multiply
    9,365.69x = 13,980.22 × 8,183.37
  4. Step 4: Simplify right side
    9,365.69x = 114,405,226.11
  5. Step 5: Solve for x
    x = 114,405,226.11/9,365.69
  6. Step 6: Final answer
    x = 12,215.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.